modelIMS_Start_Polyphase

Starting of polyphase induction machine with slip rings

Extends from Modelica.Icons.Example (Icon for runnable examples).

Information

At start time tOn voltages are supplied to the induction machines with sliprings. The two machine start from standstill, accelerating inertias against load torque quadratic dependent on speed, using a starting resistance. At time tRheostat external rotor resistance is shortened, finally reaching nominal speed. Two equivalent machines with different numbers of phases are compared and their equal behavior is demonstrated.

Simulate for 1.5 seconds and plot (versus time):

  • aimcM|M3.tauElectrical: machine torque
  • aimsM|M3.wMechanical: machine speed
  • feedback.y: zero since difference of three-phase current phasor and scaled polyphase current phasor are equal

Parameters

TypeNameDefaultDescription
Integerm33Number of stator phases of three-phase system
Integerm5Number of stator phases
Integermr5Number of rotor phases
SI.VoltageVsNominal100Nominal RMS voltage per phase
SI.FrequencyfNominalaimsData3.fsNominalNominal frequency
SI.TimetOn0.1Start time of machine
SI.ResistanceRStart0.16/aimsData3.turnsRatio^2Starting resistance
SI.TimetRheostat1.0Time of shortening the rheostat
SI.TorqueT_Load161.4Nominal load torque
SI.AngularVelocityw_LoadModelica.Units.Conversions.from_rpm(1440.45)Nominal load speed
SI.InertiaJ_Load0.29Load inertia
Modelica.Electrical.Machines.Utilities.ParameterRecords.IM_SlipRingDataaimsData3Induction machine data of a three-phase machine
Electrical.Machines.Utilities.ParameterRecords.IM_SlipRingDataaimsDataMInduction machine data of an m-phase machine

Components

TypeNameDefaultDescription
Modelica.Electrical.Machines.Utilities.TerminalBoxterminalBoxM
Modelica.Electrical.Machines.Utilities.TerminalBoxterminalBox3
Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SlipRingaimsM
Magnetic.FundamentalWave.BasicMachines.InductionMachines.IM_SlipRingaims3
Modelica.Electrical.Machines.Utilities.SwitchedRheostatrheostatM
Modelica.Electrical.Machines.Utilities.SwitchedRheostatrheostat3
Modelica.Mechanics.Rotational.Components.InertialoadInertiaM
Modelica.Mechanics.Rotational.Components.InertialoadInertia3
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorquequadraticLoadTorqueM
Modelica.Mechanics.Rotational.Sources.QuadraticSpeedDependentTorquequadraticLoadTorque3
Modelica.Electrical.Analog.Basic.GroundgroundM
Modelica.Electrical.Polyphase.Basic.StarstarM
Modelica.Electrical.Polyphase.Sources.SineVoltagesineVoltageM
Modelica.Electrical.Polyphase.Ideal.IdealClosingSwitchidealCloserM
Modelica.Blocks.Sources.BooleanStep[m]booleanStepM
Modelica.Electrical.Polyphase.Sensors.CurrentQuasiRMSSensorcurrentRMSsensorM
Modelica.Electrical.Analog.Basic.Groundground3
Modelica.Electrical.Polyphase.Basic.Starstar3
Modelica.Electrical.Polyphase.Sources.SineVoltagesineVoltage3
Modelica.Electrical.Polyphase.Ideal.IdealClosingSwitchidealCloser3
Modelica.Blocks.Sources.BooleanStep[m3]booleanStep3
Modelica.Electrical.Machines.Sensors.CurrentQuasiRMSSensorcurrentRMSsensor3
Modelica.Blocks.Math.Gaingain
Modelica.Blocks.Math.Feedbackfeedback